Results 241 to 250 of about 164,698 (293)
1/Z expansion, correlation energy, and Shannon entropy of heavy atoms in nonrelativistic limit
International Journal of Quantum Chemistry, 1998 It has been known since the work of March and White that the simplest nonrelativistic density functional theory, namely, the statistical method of Thomas, Fermi, and Dirac, sums subseries of the so-called 1/Z expansion to yield, for heavy neutral atoms, the ground-state energy E= − a0Z7/3+ a1Z2−a2Z5/3+⋅⋅⋅.
A. Grassi +3 more
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Error Analysis for Multi-Dimensional Shannon Sampling Expansion
2011 7th International Conference on Wireless Communications, Networking and Mobile Computing, 2011 Let $B^p_{\bf v}({\Bbb R}^d)$, $1\leq p< \infty,$ be the space of all bounded bandlimited functions from $L_p({\Bbb R}^d)$. The uniform bounds for truncated multi-dimensional Whittaker-Shannon series based on local sampling are derived for signal functions $f\in B^p_{\bf v}({\Bbb R}^d)$ without decay assumption.
Peixin Ye
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On the Rate of Convergence of Shannon Wavelet Expansion for Functions of Local ΛBV
Acta Mathematica Hungarica, 1997 The main purpose of the paper is to investigate the convergence of the partial sum \(S_n(f,x)\) of the Shannon wavelet expansion for functions of local \(\Lambda\)BV and to estimate the rate of convergence. The author considered the orthonormal bases of wavelets in \(L^2(R)\) and assumed only the standard conditions on the wavelets; the scaling ...
Xiehua Sun
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Truncation and aliasing errors for Whittaker-Kotelnikov- Shannon sampling expansion
Applied Mathematics-A Journal of Chinese Universities, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Peixin, Song, Zhanjie
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International Journal of Emerging Electric Power Systems, 2019 Abstract Power distribution network expansion planning (DNEP), based on innovative load flow analysis and optimization techniques, has drawn great attention of researchers around the world to cater for ever increasing demand of electrical power.
Mandhir Kumar Verma +3 more
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Uniform truncation error for Shannon sampling expansion from local averages
Acta Mathematicae Applicatae Sinica, English Series, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhanjie Song +3 more
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Journal of Modern Optics, 1997 This work offers a new method of finding a solution to a wide class of diffraction problems by the use of an expansion of a radiator distribution in a spectrum of Kotelnikov-Shannon sampling functions. From this point of view, the electromagnetic radiation of a spatially limited object is presented as a finite discrete sum of elementary beams, each of ...
Wladimir Rysakov, M. Stoń
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Shannon Expansion Based Supply-Gated Logic for Improved Power and Testability
14th Asian Test Symposium (ATS'05), 2005 Structural transformation of a design to enhance its testability while satisfying design constraints on power and performance, can result in improved test cost and test confidence. In this paper, we analyze the testability in a new style of logic design based on Shannons decomposition and supply gating.
Swaroop Ghosh +2 more
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Design of heuristic algorithms based on Shannon expansion for low-power logic circuit synthesis
IEE Proceedings - Circuits, Devices and Systems, 1997 A pair of heuristic algorithms based on Shannon expansion are proposed for the synthesis of low-power combinational circuits. Selecting an input variable for a given function, the bipartitioning algorithm performs Shannon expansion with respect to a selected variable to reduce the power dissipation of the subcircuit implementing the cofactor.
Huiyong Kim +2 more
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International Journal of Wireless and Mobile Computing, 2012 Optimal error bounds for multi-dimensional Shannon sampling expansion approximation are derived for both band-limited signals and some regular band-limited signals.
Peixin Ye, Baohuai Sheng, Xiuhua Yuan
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